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Finding the Third Proportional to 2,379.75 and 3,427.75

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Solution

The third proportional to 2,379.75 and 3,427.75 is: 4,937.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.75 : 3,427.75 = 3,427.75 : x
  2. Step 2: Convert to fraction form
    2,379.75/3,427.75 = 3,427.75/x
  3. Step 3: Cross multiply
    2,379.75x = 3,427.75 × 3,427.75
  4. Step 4: Simplify right side
    2,379.75x = 11,749,470.06
  5. Step 5: Solve for x
    x = 11,749,470.06/2,379.75
  6. Step 6: Final answer
    x = 4,937.27

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.